Normal Calculations Quiz

What is the formula to calculate the z-score in a normal distribution?

• z = (X + μ) * σ

• z = (X - μ) / σ

• z = (X + μ) / σ

• z = (X - μ) * σ

A normally distributed variable has a mean of 50 and a standard deviation of 10. What is the z-score for a value of 60?

• 0.5

• 2.0

• 0.1

• 1.0

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve to the left of the mean?

• 0.5

• 1.0

• 0.75

• 0.25

A normally distributed variable has a mean of 75 and a standard deviation of 5. What is the z-score for a value of 80?

• The z-score for a value of 80 is 0.5

• The z-score for a value of 80 is 1.

• The z-score for a value of 80 is 5

• The z-score for a value of 80 is 10

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve to the right of the mean?

• 1.0

• 0.25

• 0.5

• 0.75

A normally distributed variable has a mean of 100 and a standard deviation of 20. What is the z-score for a value of 120?

• 0.25

• 0.5

• 2.0

• 1.5

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve between two z-scores of -1 and 1?

• 0.6827

• 0.9545

• 1.645

• 0.4772

Tags

CCSS.HSS.ID.A.4

A normally distributed variable has a mean of 60 and a standard deviation of 8. What is the z-score for a value of 68?

• 0.75

• 1.25

• 0.5

• 2.0

Tags

CCSS.HSS.ID.A.4

What is the area under the normal curve between two z-scores of -2 and 2?

• 0.4772

• 1.645

• 3.1416

• 0.9544

Tags

CCSS.HSS.ID.A.4

A normally distributed variable has a mean of 90 and a standard deviation of 15. What is the z-score for a value of 105?

• The z-score for a value of 105 is 1.0.

• The z-score for a value of 105 is -1.0.

• The z-score for a value of 105 is 0.5.

• The z-score for a value of 105 is 2.0.

Tags

CCSS.HSS.ID.A.4